%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN615-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 03:41:13 PM UTC 2026
% Result : Unsatisfiable 2.79s 1.00s
% Output : CNFRefutation 2.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 11
% Syntax : Number of formulae : 46 ( 17 unt; 0 def)
% Number of atoms : 108 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 128 ( 66 ~; 62 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 9 ( 3 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 8 con; 0-2 aty)
% Number of variables : 53 ( 0 sgn 53 !; 0 ?; 36 :)
% Comments :
%------------------------------------------------------------------------------
fof(f2,negated_conjecture,
! [X0] : p7(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_2) ).
fof(f5,negated_conjecture,
p2(c26,f3(c22)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_5) ).
fof(f7,negated_conjecture,
p19(c23,f3(f4(f5(c22)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p19_7) ).
fof(f8,negated_conjecture,
p20(c24,f6(f3(f4(f5(c22))),c21)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p20_8) ).
fof(f14,negated_conjecture,
p2(c26,f14(f16(c28,f17(c21,c27)),c25)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_14) ).
fof(f16,negated_conjecture,
! [X2,X0,X1] :
( ~ p7(X2,X1)
| ~ p7(X2,X0)
| p7(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_16) ).
fof(f17,negated_conjecture,
! [X2,X0,X1] :
( ~ p2(X2,X1)
| ~ p2(X2,X0)
| p2(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_17) ).
fof(f23,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p7(X1,X3)
| ~ p7(X0,X2)
| p7(f8(X0,X1),f8(X2,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_23) ).
fof(f24,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p7(X0,X2)
| ~ p2(X1,X3)
| p7(f10(X0,X1),f10(X2,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_24) ).
fof(f29,negated_conjecture,
p7(c25,f8(f10(f12(f11(f3(f5(c22)))),c23),f8(f10(f11(f3(f4(f5(c22)))),c26),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_29) ).
fof(f30,negated_conjecture,
! [X0,X1] :
( ~ p7(c25,f8(f10(f12(f11(f3(f5(c22)))),X0),f8(f10(f11(f3(f4(f5(c22)))),f14(f16(c28,f17(c21,c27)),c25)),f9(f11(X1),f10(f11(f3(f4(f5(c22)))),c27)))))
| ~ p2(f14(f16(c28,f17(c21,c27)),c25),f3(c22))
| ~ p20(X1,f6(f3(f4(f5(c22))),c21))
| ~ p19(X0,f3(f4(f5(c22)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p19_30) ).
tcf(c_81,negated_conjecture,
! [X0: $i] : p7(X0,X0),
inference(cnf_transformation,[],[f2]) ).
tcf(c_84,negated_conjecture,
p2(c26,f3(c22)),
inference(cnf_transformation,[],[f5]) ).
tcf(c_86,negated_conjecture,
p19(c23,f3(f4(f5(c22)))),
inference(cnf_transformation,[],[f7]) ).
tcf(c_87,negated_conjecture,
p20(c24,f6(f3(f4(f5(c22))),c21)),
inference(cnf_transformation,[],[f8]) ).
tcf(c_93,negated_conjecture,
p2(c26,f14(f16(c28,f17(c21,c27)),c25)),
inference(cnf_transformation,[],[f14]) ).
tcf(c_95,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p7(X1,X2)
| ~ p7(X0,X2)
| ~ p7(X0,X1) ),
inference(cnf_transformation,[],[f16]) ).
tcf(c_96,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p2(X1,X2)
| ~ p2(X0,X2)
| ~ p2(X0,X1) ),
inference(cnf_transformation,[],[f17]) ).
tcf(c_102,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p7(f8(X0,X2),f8(X1,X3))
| ~ p7(X2,X3)
| ~ p7(X0,X1) ),
inference(cnf_transformation,[],[f23]) ).
tcf(c_103,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p7(f10(X0,X2),f10(X1,X3))
| ~ p2(X2,X3)
| ~ p7(X0,X1) ),
inference(cnf_transformation,[],[f24]) ).
tcf(c_108,negated_conjecture,
p7(c25,f8(f10(f12(f11(f3(f5(c22)))),c23),f8(f10(f11(f3(f4(f5(c22)))),c26),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27))))),
inference(cnf_transformation,[],[f29]) ).
tcf(c_109,negated_conjecture,
! [X0: $i,X1: $i] :
( ~ p19(X0,f3(f4(f5(c22))))
| ~ p20(X1,f6(f3(f4(f5(c22))),c21))
| ~ p2(f14(f16(c28,f17(c21,c27)),c25),f3(c22))
| ~ p7(c25,f8(f10(f12(f11(f3(f5(c22)))),X0),f8(f10(f11(f3(f4(f5(c22)))),f14(f16(c28,f17(c21,c27)),c25)),f9(f11(X1),f10(f11(f3(f4(f5(c22)))),c27))))) ),
inference(cnf_transformation,[],[f30]) ).
tcf(c_278,plain,
! [X0: $i] :
( p2(f14(f16(c28,f17(c21,c27)),c25),f3(c22))
| ~ p2(X0,f3(c22))
| ~ p2(X0,f14(f16(c28,f17(c21,c27)),c25)) ),
inference(instantiation,[status(thm)],[c_96]) ).
tcf(c_288,plain,
( p2(f14(f16(c28,f17(c21,c27)),c25),f3(c22))
| ~ p2(c26,f3(c22))
| ~ p2(c26,f14(f16(c28,f17(c21,c27)),c25)) ),
inference(instantiation,[status(thm)],[c_278]) ).
tcf(c_304,plain,
! [X0: $i] :
( ~ p19(c23,f3(f4(f5(c22))))
| ~ p20(X0,f6(f3(f4(f5(c22))),c21))
| ~ p2(f14(f16(c28,f17(c21,c27)),c25),f3(c22))
| ~ p7(c25,f8(f10(f12(f11(f3(f5(c22)))),c23),f8(f10(f11(f3(f4(f5(c22)))),f14(f16(c28,f17(c21,c27)),c25)),f9(f11(X0),f10(f11(f3(f4(f5(c22)))),c27))))) ),
inference(instantiation,[status(thm)],[c_109]) ).
tcf(c_351,plain,
( ~ p19(c23,f3(f4(f5(c22))))
| ~ p20(c24,f6(f3(f4(f5(c22))),c21))
| ~ p2(f14(f16(c28,f17(c21,c27)),c25),f3(c22))
| ~ p7(c25,f8(f10(f12(f11(f3(f5(c22)))),c23),f8(f10(f11(f3(f4(f5(c22)))),f14(f16(c28,f17(c21,c27)),c25)),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27))))) ),
inference(instantiation,[status(thm)],[c_304]) ).
tcf(c_424,plain,
! [X0: $i] :
( p7(c25,f8(f10(f12(f11(f3(f5(c22)))),c23),f8(f10(f11(f3(f4(f5(c22)))),f14(f16(c28,f17(c21,c27)),c25)),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27)))))
| ~ p7(X0,c25)
| ~ p7(X0,f8(f10(f12(f11(f3(f5(c22)))),c23),f8(f10(f11(f3(f4(f5(c22)))),f14(f16(c28,f17(c21,c27)),c25)),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27))))) ),
inference(instantiation,[status(thm)],[c_95]) ).
tcf(c_526,plain,
p7(c25,c25),
inference(instantiation,[status(thm)],[c_81]) ).
tcf(c_596,plain,
! [X0: $i,X1: $i] :
( p7(X1,c25)
| ~ p7(X0,c25)
| ~ p7(X0,X1) ),
inference(instantiation,[status(thm)],[c_95]) ).
tcf(c_854,plain,
! [X0: $i] :
( p7(X0,c25)
| ~ p7(c25,c25)
| ~ p7(c25,X0) ),
inference(instantiation,[status(thm)],[c_596]) ).
tcf(c_1199,plain,
( p7(f8(f10(f12(f11(f3(f5(c22)))),c23),f8(f10(f11(f3(f4(f5(c22)))),c26),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27)))),c25)
| ~ p7(c25,c25)
| ~ p7(c25,f8(f10(f12(f11(f3(f5(c22)))),c23),f8(f10(f11(f3(f4(f5(c22)))),c26),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27))))) ),
inference(instantiation,[status(thm)],[c_854]) ).
tcf(c_1666,plain,
( p7(c25,f8(f10(f12(f11(f3(f5(c22)))),c23),f8(f10(f11(f3(f4(f5(c22)))),f14(f16(c28,f17(c21,c27)),c25)),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27)))))
| ~ p7(f8(f10(f12(f11(f3(f5(c22)))),c23),f8(f10(f11(f3(f4(f5(c22)))),c26),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27)))),c25)
| ~ p7(f8(f10(f12(f11(f3(f5(c22)))),c23),f8(f10(f11(f3(f4(f5(c22)))),c26),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27)))),f8(f10(f12(f11(f3(f5(c22)))),c23),f8(f10(f11(f3(f4(f5(c22)))),f14(f16(c28,f17(c21,c27)),c25)),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27))))) ),
inference(instantiation,[status(thm)],[c_424]) ).
tcf(c_2697,plain,
! [X0: $i,X1: $i] :
( p7(f8(f10(f12(f11(f3(f5(c22)))),c23),f8(f10(f11(f3(f4(f5(c22)))),c26),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27)))),f8(X1,X0))
| ~ p7(f10(f12(f11(f3(f5(c22)))),c23),X1)
| ~ p7(f8(f10(f11(f3(f4(f5(c22)))),c26),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27))),X0) ),
inference(instantiation,[status(thm)],[c_102]) ).
tcf(c_4068,plain,
! [X0: $i] :
( p7(f8(f10(f12(f11(f3(f5(c22)))),c23),f8(f10(f11(f3(f4(f5(c22)))),c26),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27)))),f8(f10(f12(f11(f3(f5(c22)))),c23),X0))
| ~ p7(f10(f12(f11(f3(f5(c22)))),c23),f10(f12(f11(f3(f5(c22)))),c23))
| ~ p7(f8(f10(f11(f3(f4(f5(c22)))),c26),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27))),X0) ),
inference(instantiation,[status(thm)],[c_2697]) ).
tcf(c_4069,plain,
p7(f10(f12(f11(f3(f5(c22)))),c23),f10(f12(f11(f3(f5(c22)))),c23)),
inference(instantiation,[status(thm)],[c_81]) ).
tcf(c_5204,plain,
! [X0: $i,X1: $i] :
( p7(f8(f10(f12(f11(f3(f5(c22)))),c23),f8(f10(f11(f3(f4(f5(c22)))),c26),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27)))),f8(f10(f12(f11(f3(f5(c22)))),c23),f8(X0,X1)))
| ~ p7(f10(f12(f11(f3(f5(c22)))),c23),f10(f12(f11(f3(f5(c22)))),c23))
| ~ p7(f8(f10(f11(f3(f4(f5(c22)))),c26),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27))),f8(X0,X1)) ),
inference(instantiation,[status(thm)],[c_4068]) ).
tcf(c_5205,plain,
! [X0: $i,X1: $i] :
( p7(f8(f10(f11(f3(f4(f5(c22)))),c26),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27))),f8(X1,X0))
| ~ p7(f10(f11(f3(f4(f5(c22)))),c26),X1)
| ~ p7(f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27)),X0) ),
inference(instantiation,[status(thm)],[c_102]) ).
tcf(c_6361,plain,
( p7(f8(f10(f12(f11(f3(f5(c22)))),c23),f8(f10(f11(f3(f4(f5(c22)))),c26),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27)))),f8(f10(f12(f11(f3(f5(c22)))),c23),f8(f10(f11(f3(f4(f5(c22)))),f14(f16(c28,f17(c21,c27)),c25)),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27)))))
| ~ p7(f10(f12(f11(f3(f5(c22)))),c23),f10(f12(f11(f3(f5(c22)))),c23))
| ~ p7(f8(f10(f11(f3(f4(f5(c22)))),c26),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27))),f8(f10(f11(f3(f4(f5(c22)))),f14(f16(c28,f17(c21,c27)),c25)),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27)))) ),
inference(instantiation,[status(thm)],[c_5204]) ).
tcf(c_6523,plain,
! [X0: $i,X1: $i,X2: $i] :
( p7(f8(f10(f11(f3(f4(f5(c22)))),c26),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27))),f8(f10(X1,X2),X0))
| ~ p7(f10(f11(f3(f4(f5(c22)))),c26),f10(X1,X2))
| ~ p7(f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27)),X0) ),
inference(instantiation,[status(thm)],[c_5205]) ).
tcf(c_6524,plain,
! [X0: $i,X1: $i] :
( p7(f10(f11(f3(f4(f5(c22)))),c26),f10(X0,X1))
| ~ p2(c26,X1)
| ~ p7(f11(f3(f4(f5(c22)))),X0) ),
inference(instantiation,[status(thm)],[c_103]) ).
tcf(c_7092,plain,
( p7(f8(f10(f11(f3(f4(f5(c22)))),c26),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27))),f8(f10(f11(f3(f4(f5(c22)))),f14(f16(c28,f17(c21,c27)),c25)),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27))))
| ~ p7(f10(f11(f3(f4(f5(c22)))),c26),f10(f11(f3(f4(f5(c22)))),f14(f16(c28,f17(c21,c27)),c25)))
| ~ p7(f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27)),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27))) ),
inference(instantiation,[status(thm)],[c_6523]) ).
tcf(c_7721,plain,
p7(f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27)),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27))),
inference(instantiation,[status(thm)],[c_81]) ).
tcf(c_7997,plain,
! [X0: $i] :
( p7(f10(f11(f3(f4(f5(c22)))),c26),f10(X0,f14(f16(c28,f17(c21,c27)),c25)))
| ~ p7(f11(f3(f4(f5(c22)))),X0)
| ~ p2(c26,f14(f16(c28,f17(c21,c27)),c25)) ),
inference(instantiation,[status(thm)],[c_6524]) ).
tcf(c_8143,plain,
p7(f11(f3(f4(f5(c22)))),f11(f3(f4(f5(c22))))),
inference(instantiation,[status(thm)],[c_81]) ).
tcf(c_8513,plain,
( p7(f10(f11(f3(f4(f5(c22)))),c26),f10(f11(f3(f4(f5(c22)))),f14(f16(c28,f17(c21,c27)),c25)))
| ~ p2(c26,f14(f16(c28,f17(c21,c27)),c25))
| ~ p7(f11(f3(f4(f5(c22)))),f11(f3(f4(f5(c22))))) ),
inference(instantiation,[status(thm)],[c_7997]) ).
tcf(c_8515,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_8513,c_8143,c_7721,c_7092,c_6361,c_4069,c_1666,c_1199,c_526,c_351,c_288,c_108,c_93,c_87,c_86,c_84]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SYN615-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.02 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.06/0.31 % Computer : n012.cluster.edu
% 0.06/0.31 % Model : x86_64 x86_64
% 0.06/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.31 % Memory : 8046.5625MB
% 0.06/0.31 % OS : Linux 6.8.0-71-generic
% 0.06/0.31 % CPULimit : 300
% 0.06/0.31 % WCLimit : 300
% 0.06/0.31 % DateTime : Fri Sep 25 01:53:36 UTC 2026
% 0.06/0.31 % CPUTime :
% 0.06/0.31 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.07/0.33 Running first-order theorem proving
% 0.07/0.33 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.34
% 0.07/0.34 % ======== iProver multi-core TPTP/SMT =========
% 0.07/0.34
% 0.07/0.34 % Detected problem language: tptp
% 0.07/0.35 % Proving...
% 2.79/1.00 % SZS status Started for theBenchmark.p
% 2.79/1.00 % SZS status Unsatisfiable for theBenchmark.p
% 2.79/1.00
% 2.79/1.00 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.79/1.00
% 2.79/1.00 % ------ iProver source info
% 2.79/1.00
% 2.79/1.00 % git: date: 2026-07-19 20:42:38 +0200
% 2.79/1.00 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.79/1.00 % git: non_committed_changes: false
% 2.79/1.00
% 2.79/1.00 % ------ Parsing...% successful
% 2.79/1.00
% 2.79/1.00
% 2.79/1.00 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.79/1.00
% 2.79/1.00 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 2.79/1.00
% 2.79/1.00 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.79/1.00 % ------ Proving...
% 2.79/1.00 % ------ Problem Properties
% 2.79/1.00
% 2.79/1.00 %
% 2.79/1.00 % clauses 31
% 2.79/1.00 % conjectures 31
% 2.79/1.00 % EPR 10
% 2.79/1.00 % Horn 31
% 2.79/1.00 % unary 10
% 2.79/1.00 % binary 5
% 2.79/1.00 % lits 72
% 2.79/1.00 % lits eq 0
% 2.79/1.00 % fd_pure 0
% 2.79/1.00 % fd_pseudo 0
% 2.79/1.00 % fd_cond 0
% 2.79/1.00 % fd_pseudo_cond 0
% 2.79/1.00 % AC symbols 0
% 2.79/1.00
% 2.79/1.00 % ------ Schedule dynamic 5 is on
% 2.79/1.00
% 2.79/1.00 % ------ no equalities: superposition off
% 2.79/1.00
% 2.79/1.00 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.79/1.00
% 2.79/1.00
% 2.79/1.00 % ------
% 2.79/1.00 % Current options:
% 2.79/1.00 % ------
% 2.79/1.00
% 2.79/1.00
% 2.79/1.00 %
% 2.79/1.00
% 2.79/1.00 % ------ Proving...
% 2.79/1.00 %
% 2.79/1.00
% 2.79/1.00 % SZS status Unsatisfiable for theBenchmark.p
% 2.79/1.00
% 2.79/1.00 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.79/1.00
% 2.79/1.00
%------------------------------------------------------------------------------